212.08 is what percent of 522.13 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 522.13 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 522.13, so we can write it down as 100%=522.13.
4. We know, that x% equals 212.08 of the output value, so we can write it down as x%=212.08.
5. Now we have two simple equations:
1) 100%=522.13
2) x%=212.08
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=522.13/212.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 212.08 is what percent of 522.13

100%/x%=522.13/212.08
(100/x)*x=(522.13/212.08)*x       - we multiply both sides of the equation by x
100=2.4619483213882*x       - we divide both sides of the equation by (2.4619483213882) to get x
100/2.4619483213882=x
40.618236837569=x
x=40.618236837569

now we have:
212.08 is 40.618236837569% of 522.13